Three-Dimensional Finite Element Modeling of Thermomechanical Problems in Functionally Graded Hydroxyapatite/Titanium Plate

Table 3

Convergence study of simply supported Ni/ZrO₂  FG plates subjected to thermal loadings with respect to different layer numbers.

Parameter	𝑧/ℎ	Established [28]	6 Layers	8 Layers	9 Layers
Temperature (𝑇)	0.5	0.2432	0.2844	0.2779	0.2769
In-plane displacement (𝑢𝑥)	0	0.08492	0.0479	0.0432	0.0400
	0.5	−0.7862	−0.7106	−0.6889	−0.6822
	1	−1.699	−1.506	−1.456	−1.439
Transverse displacement (𝑢𝑧)	0	5.522	4.801	4.634	4.51
	0.5	5.635	4.91	4.739	4.674
	1	6.021	5.252	5.071	5.003
Normal stress (𝜎𝑥𝑥)	0	−75.78	−53.49	−48.26	−44.71
	0.5	−243	−331.2	−318.9	−304.4
	1	−1006	−1106	−1093	−1078
Transverse stress (𝜎𝑧𝑧)	0.5	1.015	0.9179	0.8309	0.7588
Transverse shear stress (𝜏𝑥𝑧)	0.5	1.583	2.497	2.222	1.927